Multiple choice

A metal sheet $27$ cm long, $8$ cm broad and $1$ cm thick is melted into a cube so that volume is constant. The difference between surface areas of two solids is

  1. $284cm^2$
  2. $286cm^2$
  3. $296cm^2$
  4. $300cm^2$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The volume of the metal sheet is 27 * 8 * 1 = 216 cm^3. A cube with this volume has a side length of 6 cm. The surface area of the sheet is 2 * (27*8 + 8*1 + 27*1) = 2 * (216 + 8 + 27) = 502 cm^2. The surface area of the cube is 6 * 6^2 = 216 cm^2. The difference is 502 - 216 = 286 cm^2.

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